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The Fourth Janko Group$
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Alexander A. Ivanov

Print publication date: 2004

Print ISBN-13: 9780198527596

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198527596.001.0001

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THE 1333-DIMENSIONAL REPRESENTATION

THE 1333-DIMENSIONAL REPRESENTATION

Chapter:
(p.84) 6 THE 1333-DIMENSIONAL REPRESENTATION
Source:
The Fourth Janko Group
Author(s):

A. A. Ivanov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198527596.003.0006

This chapter proves the existence of a completion of the amalgam G which is constrained at level 2. This is achieved by studying the non-trivial representations of G (the representations of the universal completion group of G) of minimal degree. This degree turns out to be 1333 which is the famous minimal character degree of J4.

Keywords:   amalgam, induced modules, lifting, 1333

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